This is an accompanying commentary on the article by Gert Bronfort and colleagues about the effectiveness of manual therapy. The two commentaries were provided independently and combined into this single article by the journal editors.

Recently the invariant (copoint) pre-hull number ph(G) of a graph G that measures the nonconvexity of a convex space was introduced by Polat and Sabidussi in [18]. We introduce a similar invariant called convex pre-hull number which is a natural upper bound for the copoint pre-hull number and consider in this work both on the lexicographic product of graphs. We present exact values with respect...

In this paper, some earlier results by Fleischner [H. Fleischner, Bipartizing matchings and Sabidussi’s compatibility conjecture, DiscreteMath. 244 (2002) 77–82] about edge-disjoint bipartizingmatchings of a cubic graphwith a dominating circuit are generalized for graphs without the assumption of the existence of a dominating circuit and 3-regularity. A pair of integer flows (D, f1) and (D, f2)...

It is shown that any n-chromatic graph is a full subdirect product of copies of the complete graphs Kn and Kn+1, except for some easily described graphs which are full subdirect products of copies of Kn+1 − {◦–◦} and Kn+2 − {◦–◦}; full means here that the projections of the decomposition are epimorphic in edges. This improves some results of Sabidussi. Subdirect powers of Kn or Kn+1 − {◦–◦} are...

Marc Cohen, Pamela Abshire and Gert Cauwenberghs Department of Electrical and Computer Engineering The Johns Hopkins University, Baltimore, MD 21218-2686 E-mail: marc,gert @bach.ece.jhu.edu ABSTRACT We present an asynchronous mixed analog-digital VLSI architecture which implements the Fuzzy Adaptive Resonance Theory (Fuzzy-ART) algorithm. Both classification and learning are performed on-chip i...

A recommendation of: Ramon E Rivera-Vicens, Catalina Garcia-Escudero, Nicola Conci, Michael Eitel, Gert Wörheide TransPi - a comprehensive TRanscriptome ANalysiS PIpeline for de novo transcriptome assembly https://doi.org/10.1101/2021.02.18.431773